The number of hours a lightbulb burns before failing varies from bulb to bulb. The population distribution
Question:
The number of hours a lightbulb burns before failing varies from bulb to bulb. The population distribution of burnout times is strongly skewed to the right. The central limit theorem says that
(a) as we look at more and more bulbs, their average burnout time gets ever closer to the mean m for all bulbs of this type.
(b) the average burnout time of a large number of bulbs has a sampling distribution with the same shape (strongly skewed) as the population distribution.
(c) the average burnout time of a large number of bulbs has a sampling distribution with similar shape but not as extreme (skewed, but not as strongly) as the population distribution.
(d) the average burnout time of a large number of bulbs has a sampling distribution that is close to Normal.
(e) the average burnout time of a large number of bulbs has a sampling distribution that is exactly Normal.
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